{"title":"一类新的类斐波那契数列及其性质","authors":"Yong-jiang Li, Chang-li Li, Jian-hua Ge, Z. Sun","doi":"10.1109/DBTA.2010.5658925","DOIUrl":null,"url":null,"abstract":"The Twin Fibonacci sequences are first defined and their linear expressions are given in this paper.The sequence{U_n} which is constituted by the matrix eigenvalues is defined and a discussion is given to its properties,including some exact division properties of the sequence{U_n} taken modulo m,and the theorem on the least period for module sequence{u_n(p^r)} is shown. Moreover,the relationship theorem between the module sequence of the sequence{U_n} about m and that for the Twin Fibonacci sequence is given in the paper,providing necessary mathematical support for further studying the properties of the Twin Fibonacci sequence.","PeriodicalId":320509,"journal":{"name":"2010 2nd International Workshop on Database Technology and Applications","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A New Like Fibonacci Sequence and Its Properties\",\"authors\":\"Yong-jiang Li, Chang-li Li, Jian-hua Ge, Z. Sun\",\"doi\":\"10.1109/DBTA.2010.5658925\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Twin Fibonacci sequences are first defined and their linear expressions are given in this paper.The sequence{U_n} which is constituted by the matrix eigenvalues is defined and a discussion is given to its properties,including some exact division properties of the sequence{U_n} taken modulo m,and the theorem on the least period for module sequence{u_n(p^r)} is shown. Moreover,the relationship theorem between the module sequence of the sequence{U_n} about m and that for the Twin Fibonacci sequence is given in the paper,providing necessary mathematical support for further studying the properties of the Twin Fibonacci sequence.\",\"PeriodicalId\":320509,\"journal\":{\"name\":\"2010 2nd International Workshop on Database Technology and Applications\",\"volume\":\"4 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-12-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 2nd International Workshop on Database Technology and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DBTA.2010.5658925\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 2nd International Workshop on Database Technology and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DBTA.2010.5658925","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Twin Fibonacci sequences are first defined and their linear expressions are given in this paper.The sequence{U_n} which is constituted by the matrix eigenvalues is defined and a discussion is given to its properties,including some exact division properties of the sequence{U_n} taken modulo m,and the theorem on the least period for module sequence{u_n(p^r)} is shown. Moreover,the relationship theorem between the module sequence of the sequence{U_n} about m and that for the Twin Fibonacci sequence is given in the paper,providing necessary mathematical support for further studying the properties of the Twin Fibonacci sequence.
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